The value of x in the figure is 9.72
<h3>How to determine the value of x?</h3>
The given shape is a triangle, and the value of x can be calculated using the following laws of cosine
a^2 = b^2 + c^2 - 2bc * cos(a)
So, the equation becomes
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * cos(44)
Evaluate the value of cos(44)
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * 0.7193
Evaluate the product
x^2 = 296 - 201.404
Evaluate the difference
x^2 = 94.596
Evaluate the exponent
x = 9.72
Hence, the value of x in the figure is 9.72
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Answer:92.4
Step-by-step explanation:
4x+7x=132
10x=132
x=132/10
x=13.2
4x=4×13.2
=52.8
5x=7×13.2
=92.4
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
= 
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
Answer:
A section of wall is being framed. A model of the framing work is shown below. Vertical and parallel lines c, d, and e are cut by diagonal transversal b. The uppercase right angle formed by the intersection of lines b and c is angle A. The uppercase left angle formed by the intersection of lines d and b is 125 degrees. Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.
angle D
65 degrees because then it adds to 180 degrees
